Answer:
3.025 (I think)
Step-by-step explanation:
12.5x + 30 = -7.5x + 90.5.
Add 7.5x on both sides
20x + 30 = 90.5
Subtract 30 on both sides
20x= 60.5
divided 20 on both sides
X = 3.025..
(sorry if it's wrong!)
False
(x,y)
so if it lies on the y axis, then x=0
it has to be (0,y) for it to lie on y axis
since we have (6,6), it does not lie on any axis
false
The height of the hawk flying over the tree is 462.14 feet
<h3>How to find the height of the hawk using angle of elevation?</h3>
The observer (O) is located 660 feet from a tree (T).
The observer notices a hawk (H) flying at a 35° angle of elevation from his line of sight.
The situation forms a right angle triangle.
Therefore, using trigonometric ratios,
tan ∅ = opposite / adjacent
where
- ∅ = angle of elevation
- opposite side = height of the hawk
- adjacent side = distance of the observer from the tree
Therefore,
tan 35 = h / 660
cross multiply
h = 660 tan 35
h = 660 × 0.70020753821
h = 462.136975218
h = 462.14 feet
Therefore, the height of the hawk flying over the tree is 462.14 feet.
learn more on angle of elevation here: brainly.com/question/6286482
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Answer:
a) 0
Step-by-step explanation:
the equation of the slope (m) for a line from two points is given as (y2-y1)/(x2-x1)
we are given the points (3,-2) and (9,-2)
we can label the points:
x1=3
y1=-2
x2=9
y2=-2
now substitute into the equation:
m=(-2--2)/(9-3)
simplify
m=(-2+2)/6
m=0/6
m=0
the slope of the line is 0, which is option a
Hope this helps!
You're aware that
... (x +a)(x +b) = x² +(a+b)x + ab
so
... (x +a)² = x² +2ax + a²
With this in mind, you notice that 25 is the square of a prime, so that is your first clue that the trinomial is a square. The last bit of information you need for that conclusion is that the coefficient of x satisfies
... 10 = 2√25 = 2·5
Now, you know ...
... x² + 10x + 25 = (x +5)² = (x +5)(x +5)
The two binomials are both (x+5).